A selection test consists of two parts, A and B. 75% of the candidates cleared part A and 60% cleared part B. 20% failed to clear either. What is the % of candidates who cleared one of the parts but failed to clear the other?
Pls help me
80% cleared something
so
80 = 75 + 60 - cleared both
so
cleared both = 75 + 60 - 80 = 55
(that is the "intersection" of the cleared sets)
That meand that 75 - 55 = 20% cleared only A
and
60-55 = 5% cleared only B
so
25% cleared only A or B but not both
Sure, I'd love to help you! Let's break down the information.
We know that 75% of the candidates cleared part A and 60% cleared part B. We also know that 20% failed to clear either part.
To find the percentage of candidates who cleared one part but failed to clear the other, we can subtract the percentage of candidates who cleared both parts from the percentage of candidates who cleared either part.
If 20% failed to clear either part, that means the remaining candidates who did clear either part is 100% - 20% = 80%.
Now, let's calculate the percentage of candidates who cleared both parts. Since 75% cleared part A and 60% cleared part B, we can assume that 60% is a subset of the 75% who cleared part A. Therefore, the percentage of candidates who cleared both parts is 60% of 75%, which is 0.6 x 75% = 45%.
To find the percentage of candidates who cleared one part but failed to clear the other, we subtract the percentage of candidates who cleared both parts from the percentage of candidates who cleared either part: 80% - 45% = 35%.
So, the percentage of candidates who cleared one of the parts but failed to clear the other is 35%.
To find the percentage of candidates who cleared one part but failed to clear the other, we need to first find the percentage of candidates who cleared both parts and subtract it from the total percentage of candidates who cleared at least one part.
Given information:
- 75% cleared part A
- 60% cleared part B
- 20% failed to clear either
Let's start by finding the percentage of candidates who cleared at least one part.
Total percentage of candidates who cleared at least one part = 100% - 20% (failed to clear either)
Total percentage of candidates who cleared at least one part = 80%
Next, we will find the percentage of candidates who cleared both parts by taking the sum of the percentages of candidates who cleared part A and part B and subtracting it from the total percentage of candidates who cleared at least one part.
Percentage of candidates who cleared both parts = 75% + 60% - 80%
Percentage of candidates who cleared both parts = 135% - 80%
Percentage of candidates who cleared both parts = 55%
Finally, we can find the percentage of candidates who cleared one part but failed to clear the other by subtracting the percentage of candidates who cleared both parts from the total percentage of candidates who cleared at least one part.
Percentage of candidates who cleared one part but failed to clear the other = Total percentage of candidates who cleared at least one part - Percentage of candidates who cleared both parts
Percentage of candidates who cleared one part but failed to clear the other = 80% - 55%
Percentage of candidates who cleared one part but failed to clear the other = 25%
Therefore, the percentage of candidates who cleared one of the parts but failed to clear the other is 25%.
To solve this problem, we need to find the percentage of candidates who cleared one part but failed to clear the other part.
Let's assume there are 100 candidates in total.
From the given information, we know that 75% of the candidates cleared part A. So, the number of candidates who cleared part A is (75/100) * 100 = 75.
Similarly, 60% of the candidates cleared part B. So, the number of candidates who cleared part B is (60/100) * 100 = 60.
Now, let's find the number of candidates who failed to clear both parts. We are given that 20% of the candidates failed to clear either part. So, the number of candidates who failed to clear both parts is (20/100) * 100 = 20.
To find the percentage of candidates who cleared one part but failed to clear the other, we subtract the number of candidates who cleared both parts from the total candidates who cleared at least one part.
Total candidates who cleared at least one part = Candidates who cleared part A + Candidates who cleared part B - Candidates who cleared both parts
= 75 + 60 - 20
= 115
Percentage of candidates who cleared one part but failed to clear the other = (Candidates who cleared one part but failed to clear the other / Total candidates who cleared at least one part) * 100
= (115 / 100) * 100
= 115%
Therefore, the percentage of candidates who cleared one part but failed to clear the other is 115%.